Nonlinear Hysteretic Torsional Waves
Abstract
We theoretically study and experimentally report the propagation of nonlinear hysteretic torsional pulses in a vertical granular chain made of cm-scale, self-hanged magnetic beads. As predicted by contact mechanics, the torsional coupling between two beads is found nonlinear hysteretic. This results in a nonlinear pulse distortion essentially different from the distortion predicted by classical nonlinearities, and in a complex dynamic response depending on the history of the wave particle angular velocity. Both are consistent with the predictions of purely hysteretic nonlinear elasticity and the Preisach-Mayergoyz hysteresis model, providing the opportunity to study the phenomenon of nonlinear dynamic hysteresis in the absence of other type of material nonlinearities. The proposed configuration reveals a plethora of interesting phenomena including giant amplitude-dependent attenuation, short term memory as well as dispersive properties. Thus, it could find interesting applications in nonlinear wave control devices such as strong amplitude-dependent filters.
Keywords
Cite
@article{arxiv.1501.02179,
title = {Nonlinear Hysteretic Torsional Waves},
author = {J. Cabaret and P. Béquin and G. Theocharis and V. Andreev and V. E. Gusev and V. Tournat},
journal= {arXiv preprint arXiv:1501.02179},
year = {2015}
}